This book offers the first comprehensive introduction to wave
scattering in nonstationary materials. G. F. Roach's aim is to
provide an accessible, self-contained resource for newcomers to
this important field of research that has applications across a
broad range of areas, including radar, sonar, diagnostics in
engineering and manufacturing, geophysical prospecting, and
ultrasonic medicine such as sonograms.
New methods in recent years have been developed to assess the
structure and properties of materials and surfaces. When light,
sound, or some other wave energy is directed at the material in
question, "imperfections" in the resulting echo can reveal a
tremendous amount of valuable diagnostic information. The
mathematics behind such analysis is sophisticated and complex.
However, while problems involving stationary materials are quite
well understood, there is still much to learn about those in which
the material is moving or changes over time. These so-called
non-autonomous problems are the subject of this fascinating book.
Roach develops practical strategies, techniques, and solutions for
mathematicians and applied scientists working in or seeking entry
into the field of modern scattering theory and its
applications.
"Wave Scattering by Time-Dependent Perturbations" is destined to
become a classic in this rapidly evolving area of inquiry
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